Math 283 Calculus III Chapter 16 curl and divergence

Compute the curl:

Compute the divergence:

A conservative vector field has zero curl, which is not the case here, so is not conservative.

We can also employ the same method as I showed in an earlier question of yours [28193504]. We want to find a scalar function whose gradient is , so

However, there is no function that depends only on and that satisfies this partial differential equation; to wit, we cannot eliminate . So no such exists.

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The answer is in the image 

The answer is in the image 

The solution is given in the image below

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.